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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 3, Pages 477–490
DOI: https://doi.org/10.1070/IM1972v006n03ABEH001884 (Mi im2307) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the uniform boundedness of the torsion of elliptic curves over algebraic number fields

V. A. Dem'yanenko
English version PDF (463 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM1972v006n03ABEH001884
Abstract: In this paper we prove the uniform boundedness of the torsion of elliptic curves over algebraic number fields of fixed degree under the condition that their invariants belong to fields over which the rank of the curve $V^2=U^4-1$ is bounded.
Received: 28.07.1971
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1972, Volume 36, Issue 3, Pages 484–496
Bibliographic databases:
UDC: 511
MSC: 14H45, 14H25
Language: English
Original paper language: Russian
Citation: V. A. Dem'yanenko, “On the uniform boundedness of the torsion of elliptic curves over algebraic number fields”, Izv. Akad. Nauk SSSR Ser. Mat., 36:3 (1972), 484–496; Math. USSR-Izv., 6:3 (1972), 477–490
Citation in format AMSBIB
\Bibitem{Dem72}
\by V.~A.~Dem'yanenko
\paper On the uniform boundedness of the torsion of elliptic curves over algebraic number fields
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1972
\vol 36
\issue 3
\pages 484--496
\mathnet{http://mi.mathnet.ru/im2307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=302654}
\zmath{https://zbmath.org/?q=an:0241.14016}
\transl
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 3
\pages 477--490
\crossref{https://doi.org/10.1070/IM1972v006n03ABEH001884}
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  • https://www.mathnet.ru/eng/im/v36/i3/p484
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:277
    Russian version PDF:64
    English version PDF:6
    References:53
    First page:1
     
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